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Finding the Fourth Proportional to 359,281.82, 495,792.24 and 206,212.28

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Solution

The fourth proportional to 359,281.82, 495,792.24 and 206,212.28 is: 284,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,281.82 : 495,792.24 = 206,212.28 : x
  2. Step 2: Convert to fraction form
    359,281.82/495,792.24 = 206,212.28/x
  3. Step 3: Cross multiply
    359,281.82x = 495,792.24 × 206,212.28
  4. Step 4: Simplify right side
    359,281.82x = 102,238,448,216.71
  5. Step 5: Solve for x
    x = 102,238,448,216.71/359,281.82
  6. Step 6: Final answer
    x = 284,563.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.